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Finding the Fourth Proportional to 29,956.74, 44,935.10 and 10,235.46

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Solution

The fourth proportional to 29,956.74, 44,935.10 and 10,235.46 is: 15,353.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,956.74 : 44,935.10 = 10,235.46 : x
  2. Step 2: Convert to fraction form
    29,956.74/44,935.10 = 10,235.46/x
  3. Step 3: Cross multiply
    29,956.74x = 44,935.10 × 10,235.46
  4. Step 4: Simplify right side
    29,956.74x = 459,931,631.93
  5. Step 5: Solve for x
    x = 459,931,631.93/29,956.74
  6. Step 6: Final answer
    x = 15,353.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.